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133431001000141 = 13174346730066241
BaseRepresentation
bin11110010101101011010011…
…011010101010100011001101
3122111102212201212200220122011
4132111223103122222203031
5114442113142224001031
61151441204452421221
740051033410053305
oct3625532332524315
9574385655626564
10133431001000141
1139573851586579
1212b6b9a4317811
13595b6492b5990
1424d41485d0605
151065ca713c6b1
hex795ad36aa8cd

133431001000141 has 32 divisors (see below), whose sum is σ = 156019261926528. Its totient is φ = 112983638261760.

The previous prime is 133431001000139. The next prime is 133431001000207. The reversal of 133431001000141 is 141000100134331.

It is a cyclic number.

It is not a de Polignac number, because 133431001000141 - 21 = 133431001000139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133431001000441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10595220 + ... + 19471021.

It is an arithmetic number, because the mean of its divisors is an integer number (4875601935204).

Almost surely, 2133431001000141 is an apocalyptic number.

It is an amenable number.

133431001000141 is a deficient number, since it is larger than the sum of its proper divisors (22588260926387).

133431001000141 is a wasteful number, since it uses less digits than its factorization.

133431001000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30066781.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 133431001000141 its reverse (141000100134331), we get a palindrome (274431101134472).

The spelling of 133431001000141 in words is "one hundred thirty-three trillion, four hundred thirty-one billion, one million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 13 17 43 221 467 559 731 6071 7939 9503 20081 103207 261053 341377 4437901 30066241 390861133 511126097 1292848363 6644639261 14040934547 16807028719 21978422171 182532149111 238695887299 285719488223 603760185521 3103046534887 7848882411773 10263923153857 133431001000141